The Student Room Group

Vector Resolution

1). Calculate the resultant force on a gymnast of weight 420N when she has a horizontal force on her of 1200N.

Answer: I worked out 1270N as the resultant force, using pythagoras' theorem, but I can't work out the angle. I tried doing cos1(4201270)=θ=70.7cos^{-1}(\frac{420}{1270}) = \theta = 70.7^{\circ} but the answer should be 19.319.3^{\circ}. What am I doing wrong?
Reply 1
You're correct, you're just measuring a different angle to whoever wrote the markscheme. Notice that 70.7 + 19.3 = 90. One is to the horizontal, one is to the vertical.
Reply 2
So how do I know which angle I'm supposed to be measuring? This is the biggest problem I'm having at the moment as I'm just guessing the angle and hoping it's the right one.

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